answer is 7/4
class 10
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f(x) = 2x² +px - 15 = 0
As 2 is a root of the equation
f(2) =0
Substitute x for 2
Then you will get p as 7
Next equation has equal roots
Therefore D= 0
now we have p= 7
So the equation we have now is 7x²+7x+k=0
D=b²-4ac
D=0
49-28k=0
Calculating
K = 7/4
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